On the Satisfaction of Moser-Navara Axioms for Fuzzy Inference Systems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F16%3AA1701FZN" target="_blank" >RIV/61988987:17610/16:A1701FZN - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

On the Satisfaction of Moser-Navara Axioms for Fuzzy Inference Systems

Popis výsledku v původním jazyce

In [1], B. Moser and M. Navara defined three axioms for fuzzy inference systems and showed, that usually neither very popular Mamdani-Assilian nor logically motivated implicative fuzzy systems, do satisfy them simultaneously. Therefore, the authors introduced so-called conditionally firing rules and proved, that under very mild conditions, all three axioms may be satisfied simultaneously. However, the advantageous composition, which is directly related to the inference, is the direct image (related to CRI) when dealing with the implicative interpretation of fuzzy rules, and the subdirect image (related to BKS) when dealing with Mamdani-Assilian interpretation of fuzzy rules, not vice-versa. This article aims directly at this point and investigates the satisfaction of Moser-Navara axioms by the preferable combinations of rule interpretations and inference mechanisms.

Název v anglickém jazyce

On the Satisfaction of Moser-Navara Axioms for Fuzzy Inference Systems

Popis výsledku anglicky

In [1], B. Moser and M. Navara defined three axioms for fuzzy inference systems and showed, that usually neither very popular Mamdani-Assilian nor logically motivated implicative fuzzy systems, do satisfy them simultaneously. Therefore, the authors introduced so-called conditionally firing rules and proved, that under very mild conditions, all three axioms may be satisfied simultaneously. However, the advantageous composition, which is directly related to the inference, is the direct image (related to CRI) when dealing with the implicative interpretation of fuzzy rules, and the subdirect image (related to BKS) when dealing with Mamdani-Assilian interpretation of fuzzy rules, not vice-versa. This article aims directly at this point and investigates the satisfaction of Moser-Navara axioms by the preferable combinations of rule interpretations and inference mechanisms.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2016

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

FUZZ-IEEE

ISBN

978-1-5090-0625-0

ISSN

1098-7584

e-ISSN

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Počet stran výsledku

8

Strana od-do

308-315

Název nakladatele

IEEE

Místo vydání

Vancouver

Místo konání akce

Vancouver, Canada

Datum konání akce

1. 1. 2016

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000392150700043